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Find Two Paths of Approach from Which One Can Conclude f(x,y)=xyxyf ( x , y ) = \frac { | x y | } { x y }

question 294

Essay

Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).
- f(x,y)=xyxyf ( x , y ) = \frac { | x y | } { x y }

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Definitions:

Defense Mechanism

Unconscious tactics employed to shield oneself from the anxiety caused by thoughts or feelings deemed unacceptable.

Psychic Energy

In psychoanalytic theory, a form of energy that drives all human behavior, originating from innate biological instincts.

Psychoanalysis

A method of psychological therapy originated by Sigmund Freud focusing on exploring unconscious motives and conflicts.

Repressed

A psychological term referring to the unconscious blocking of undesirable or uncomfortable thoughts, feelings, or memories from conscious awareness.

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